{"id":"vidhyamitra:city-day:berlin:2159-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-08-21","date_display":"August 21, 2159 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2159,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509850.770833,"kali_year":5261,"ahargana":1921385.2708,"sun":{"sidereal_longitude":120.7835,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":211.8291,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.0456,"elapsed_within_tithi_degrees":7.0456},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":211.8291,"elapsed_within_degrees":11.8291},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.6127},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2159,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509850.770833,"ahargana":1921385.2708,"kali_year":5261,"ayanamsa_lahiri":26.083,"grahas":{"sun":{"sidereal_longitude":121.80020100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":214.12600099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-3.1205},"mars":{"sidereal_longitude":238.83850099999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":134.59860100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":164.975501,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":76.51870100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":176.71790099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":255.762,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":75.762,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2159,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509850.770833,"kali_year":5261,"ahargana":1921385.2708,"sun":{"sidereal_longitude":120.7835,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":211.8291,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":91.0456,"elapsed_within_tithi_degrees":7.0456},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":211.8291,"elapsed_within_degrees":11.8291},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.6127},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.121,"elongation":91.046},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.121,"opposition_distance":88.954}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"04:58","sunsetLocal":"19:21","solarNoonLocal":"12:09","dayLengthHours":14.38055696016746,"dayLengthDisplay":"14 Hours 22 Mins 50 Secs","nightLengthDisplay":"9 Hours 37 Mins 10 Secs","moonriseLocal":"14:08","moonsetLocal":"22:28","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:33","startHours":15.74810412864178,"endHours":17.54567374866271,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:33","end":"10:21","startHours":8.55782564855805,"endHours":10.355395268578981,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:09","end":"13:57","startHours":12.152964888599914,"endHours":13.950534508620848,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:19","end":"08:48","startHours":8.318149699221925,"endHours":8.797501597894174,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:34","end":"05:57","startHours":5.561876281856495,"endHours":5.945357800794294,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:38","startHours":11.673612989927665,"endHours":12.632316787272163,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:03","end":"04:00","startHours":3.0452788138271893,"endHours":4.003982611171686,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:46","end":"04:58","startHours":3.7643066618355623,"endHours":4.962686408516184,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:31","startHours":14.549724381961159,"endHours":15.508428179305657,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:09","end":"19:33","startHours":19.143243368683645,"endHours":19.543243368683644,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:21","end":"19:57","startHours":19.343243368683645,"endHours":19.942433242023956,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:06","end":"20:51","startHours":19.093243368683645,"endHours":20.843243368683645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:38","startHours":23.673612989927665,"endHours":24.632316787272163,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:58","end":"06:46","startHours":4.962686408516184,"endHours":6.760256028537117,"quality":"inauspicious"},{"name":"Udveg","start":"06:46","end":"08:33","startHours":6.760256028537117,"endHours":8.55782564855805,"quality":"inauspicious"},{"name":"Chala","start":"08:33","end":"10:21","startHours":8.55782564855805,"endHours":10.355395268578981,"quality":"neutral"},{"name":"Labha","start":"10:21","end":"12:09","startHours":10.355395268578981,"endHours":12.152964888599914,"quality":"auspicious"},{"name":"Amṛta","start":"12:09","end":"13:57","startHours":12.152964888599914,"endHours":13.950534508620848,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:45","startHours":13.950534508620848,"endHours":15.74810412864178,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:33","startHours":15.74810412864178,"endHours":17.54567374866271,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:21","startHours":17.54567374866271,"endHours":19.343243368683645,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:21","end":"20:33","startHours":19.343243368683645,"endHours":20.54567374866271,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:45","startHours":20.54567374866271,"endHours":21.748104128641778,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"22:57","startHours":21.748104128641778,"endHours":22.950534508620848,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:09","startHours":22.950534508620848,"endHours":24.152964888599914,"quality":"inauspicious"},{"name":"Chala","start":"00:09","end":"01:21","startHours":24.152964888599914,"endHours":25.35539526857898,"quality":"neutral"},{"name":"Labha","start":"01:21","end":"02:33","startHours":25.35539526857898,"endHours":26.55782564855805,"quality":"auspicious"},{"name":"Amṛta","start":"02:33","end":"03:46","startHours":26.55782564855805,"endHours":27.760256028537118,"quality":"auspicious"},{"name":"Kāla","start":"03:46","end":"04:58","startHours":27.760256028537118,"endHours":28.962686408516184,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:58","end":"05:58","startHours":4.962686408516184,"endHours":5.962686408516184,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:58","end":"06:58","startHours":5.962686408516184,"endHours":6.962686408516184,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:58","end":"07:58","startHours":6.962686408516184,"endHours":7.962686408516184,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:58","end":"08:58","startHours":7.962686408516184,"endHours":8.962686408516184,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:58","end":"09:58","startHours":8.962686408516184,"endHours":9.962686408516184,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:58","end":"10:58","startHours":9.962686408516184,"endHours":10.962686408516184,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:58","end":"11:58","startHours":10.962686408516184,"endHours":11.962686408516184,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:58","end":"12:58","startHours":11.962686408516184,"endHours":12.962686408516184,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:58","end":"13:58","startHours":12.962686408516184,"endHours":13.962686408516184,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:58","end":"14:58","startHours":13.962686408516184,"endHours":14.962686408516184,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:58","end":"15:58","startHours":14.962686408516184,"endHours":15.962686408516184,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:58","end":"16:58","startHours":15.962686408516184,"endHours":16.962686408516184,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:58","end":"17:58","startHours":16.962686408516184,"endHours":17.962686408516184,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:58","end":"18:58","startHours":17.962686408516184,"endHours":18.962686408516184,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:58","end":"19:58","startHours":18.962686408516184,"endHours":19.962686408516184,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:58","end":"20:58","startHours":19.962686408516184,"endHours":20.962686408516184,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:58","end":"21:58","startHours":20.962686408516184,"endHours":21.962686408516184,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:58","end":"22:58","startHours":21.962686408516184,"endHours":22.962686408516184,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:58","end":"23:58","startHours":22.962686408516184,"endHours":23.962686408516184,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:58","end":"00:58","startHours":23.962686408516184,"endHours":24.962686408516184,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:58","end":"01:58","startHours":24.962686408516184,"endHours":25.962686408516184,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:58","end":"02:58","startHours":25.962686408516184,"endHours":26.962686408516184,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:58","end":"03:58","startHours":26.962686408516184,"endHours":27.962686408516184,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:58","end":"04:58","startHours":27.962686408516184,"endHours":28.962686408516184,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.207529560150252,"eotMinutes":-2.7978933159948465,"ayanamsa":26.083}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Aṣṭamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 21, 2159 CE · Berlin, Germany · Vidhyamitra","description":"August 21, 2159 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 04:58, sūryāsta 19:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-08-21","sa":"https://sa.vidhyamitra.com/city/berlin/2159-08-21","hi":"https://hi.vidhyamitra.com/city/berlin/2159-08-21","x-default":"https://vidhyamitra.com/city/berlin/2159-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:30:12.741Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-02T11:30:12.741Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:30:12.741Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}